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谢建华. 振动锤的数学模型与全局分叉[J]. 力学学报, 1997, 29(4): 456-463. DOI: 10.6052/0459-1879-1997-4-1995-251
引用本文: 谢建华. 振动锤的数学模型与全局分叉[J]. 力学学报, 1997, 29(4): 456-463. DOI: 10.6052/0459-1879-1997-4-1995-251
A MATHEMATICAL MODEL FOR IMPACT HAMMERS AND IT'S GLOBAL BIFURCATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 456-463. DOI: 10.6052/0459-1879-1997-4-1995-251
Citation: A MATHEMATICAL MODEL FOR IMPACT HAMMERS AND IT'S GLOBAL BIFURCATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 456-463. DOI: 10.6052/0459-1879-1997-4-1995-251

振动锤的数学模型与全局分叉

A MATHEMATICAL MODEL FOR IMPACT HAMMERS AND IT'S GLOBAL BIFURCATIONS

  • 摘要: 用现代动力系统方法,将振动锤的动力学等价地简化为圆周上的分段连续自映射,并描述了此映射的性质.随着激振频率的增加,系统产生的分叉过程与普通的一维连续映射有本质差异.在极限状态下,振动锤的运动是混沌的.

     

    Abstract: By the method of modern dynamical systems, we studied the dynamicsof impact hammers by maps of circle and investigated the propreties ofthese maps. With the increasing of the frequency of excitation,the bifurcations that take place in this system are different from that inone dimensional maps. Under extreme conditions, the motions of the impacthammer are chaotic.

     

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